- 9.2.31E: State the null and alternative hypothesis in each case.(a) A hypoth...
- 9.2.32E: A hypothesis will be used to test that a population mean equals 7 a...
- 9.2.33E: A hypothesis will be used to test that a population mean equals 10 ...
- 9.2.34E: A hypothesis will be used to test that a population mean equals 5 a...
- 9.2.35E: For the hypothesis test and variance known, calculate theP-value fo...
- 9.2.36E: For the hypothesis test and variance known, calculate the P-value f...
- 9.2.37E: For the hypothesis test variance known, calculate the P-value for e...
- 9.2.38E: Output from a software package follows:
- 9.2.39E: Output from a software package follows:
- 9.2.40E: Output from a software package follows:
- 9.2.41E: Output from a software package follows:
- 9.2.42E: The mean water temperature downstream from a discharge pipe at a po...
- 9.2.43E: A manufacturer produces crankshafts for an automobile engine. The c...
- 9.2.44E: A melting point test of n = 10 samples of a binder used in manufact...
- 9.2.45E: The life in hours of a battery is known to be approximately normall...
- 9.2.46E: An engineer who is studying the tensile strength of a steel alloy i...
- 9.2.47E: Supercavitation is a propulsion technology for undersea vehicles th...
- 9.2.48E: bearing used in an automotive application is supposed to have a nom...
- 9.2.49E: Medical researchers have developed a new artificial heart construct...
- 9.2.50E: Humans are known to have a mean gestation period of 280 days (from ...
- 9.2.51E: The bacterial strain Acinetobacter has been tested for its adhesion...
Solutions for Chapter 9.2: Applied Statistics and Probability for Engineers 6th Edition
Full solutions for Applied Statistics and Probability for Engineers | 6th Edition
2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.
2 k p - factorial experiment
A fractional factorial experiment with k factors tested in a 2 ? p fraction with all factors tested at only two levels (settings) each
Adjusted R 2
A variation of the R 2 statistic that compensates for the number of parameters in a regression model. Essentially, the adjustment is a penalty for increasing the number of parameters in the model. Alias. In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
The portion of the variability in a set of observations that can be traced to speciic causes, such as operators, materials, or equipment. Also called a special cause.
Central composite design (CCD)
A second-order response surface design in k variables consisting of a two-level factorial, 2k axial runs, and one or more center points. The two-level factorial portion of a CCD can be a fractional factorial design when k is large. The CCD is the most widely used design for itting a second-order model.
Any test of signiicance based on the chi-square distribution. The most common chi-square tests are (1) testing hypotheses about the variance or standard deviation of a normal distribution and (2) testing goodness of it of a theoretical distribution to sample data
An experiment in which the treatments (experimental conditions) that are to be studied are included in the experiment. The data from the experiment are used to evaluate the treatments.
Conditional probability density function
The probability density function of the conditional probability distribution of a continuous random variable.
An estimator that converges in probability to the true value of the estimated parameter as the sample size increases.
Continuous random variable.
A random variable with an interval (either inite or ininite) of real numbers for its range.
Cumulative distribution function
For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.
Cumulative normal distribution function
The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.
Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.
Defects-per-unit control chart
See U chart
Another name for a probability density function
Another name for a cumulative distribution function.
The variance of an error term or component in a model.
A signal from a control chart when no assignable causes are present
A model that contains only irstorder terms. For example, the irst-order response surface model in two variables is y xx = + ?? ? ? 0 11 2 2 + + . A irst-order model is also called a main effects model
Another name for the normal distribution, based on the strong connection of Karl F. Gauss to the normal distribution; often used in physics and electrical engineering applications
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